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Convert the following into an iterated triple integral in cylindrical coordinates:

âˆ«âˆ«âˆ« (Vi – y – T) Vre + y dz dr dÎ¸

and evaluate.

SET-UP (do not evaluate) the iterated triple integral in rectangular coordinates that gives the mass of the solid G in the first octant bounded by the planes 2 + y = 4, z = 2, the zy-plane, the 2z-plane, and the cylinder y = 2 – âˆš2, given that the volume density at each point (2, y, 2) in G is 6(2, y, z) = 6y.

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